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Finding the Fourth Proportional to 3,241.76, 4,864.26 and 1,596.38

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Solution

The fourth proportional to 3,241.76, 4,864.26 and 1,596.38 is: 2,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.76 : 4,864.26 = 1,596.38 : x
  2. Step 2: Convert to fraction form
    3,241.76/4,864.26 = 1,596.38/x
  3. Step 3: Cross multiply
    3,241.76x = 4,864.26 × 1,596.38
  4. Step 4: Simplify right side
    3,241.76x = 7,765,207.38
  5. Step 5: Solve for x
    x = 7,765,207.38/3,241.76
  6. Step 6: Final answer
    x = 2,395.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.